{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 基于流行度的推荐"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# -*- coding:utf-8 -*-\n",
    "import sys\n",
    "reload(sys)\n",
    "sys.setdefaultencoding(\"utf-8\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-26T05:34:54.624167Z",
     "start_time": "2017-09-26T05:34:46.420964Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取数据\n",
    "用户(10万)、歌曲（3万）、播放次数、歌曲元数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = pd.read_csv('triplet_dataset_sub_song_merged.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>song</th>\n",
       "      <th>listen_count</th>\n",
       "      <th>title</th>\n",
       "      <th>release</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOADQPP12A67020C82</td>\n",
       "      <td>12</td>\n",
       "      <td>You And Me Jesus</td>\n",
       "      <td>Tribute To Jake Hess</td>\n",
       "      <td>Jake Hess</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOAFTRR12AF72A8D4D</td>\n",
       "      <td>1</td>\n",
       "      <td>Harder Better Faster Stronger</td>\n",
       "      <td>Discovery</td>\n",
       "      <td>Daft Punk</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOANQFY12AB0183239</td>\n",
       "      <td>1</td>\n",
       "      <td>Uprising</td>\n",
       "      <td>Uprising</td>\n",
       "      <td>Muse</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOAYATB12A6701FD50</td>\n",
       "      <td>1</td>\n",
       "      <td>Breakfast At Tiffany's</td>\n",
       "      <td>Home</td>\n",
       "      <td>Deep Blue Something</td>\n",
       "      <td>1993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOBOAFP12A8C131F36</td>\n",
       "      <td>7</td>\n",
       "      <td>Lucky (Album Version)</td>\n",
       "      <td>We Sing.  We Dance.  We Steal Things.</td>\n",
       "      <td>Jason Mraz &amp; Colbie Caillat</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                       user                song  listen_count  \\\n",
       "0  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOADQPP12A67020C82            12   \n",
       "1  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOAFTRR12AF72A8D4D             1   \n",
       "2  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOANQFY12AB0183239             1   \n",
       "3  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOAYATB12A6701FD50             1   \n",
       "4  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOBOAFP12A8C131F36             7   \n",
       "\n",
       "                           title                                release  \\\n",
       "0               You And Me Jesus                   Tribute To Jake Hess   \n",
       "1  Harder Better Faster Stronger                              Discovery   \n",
       "2                       Uprising                               Uprising   \n",
       "3         Breakfast At Tiffany's                                   Home   \n",
       "4          Lucky (Album Version)  We Sing.  We Dance.  We Steal Things.   \n",
       "\n",
       "                   artist_name  year  \n",
       "0                    Jake Hess  2004  \n",
       "1                    Daft Punk  2007  \n",
       "2                         Muse     0  \n",
       "3          Deep Blue Something  1993  \n",
       "4  Jason Mraz & Colbie Caillat     0  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 最流行的歌名"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RI0cqNDRUvr6+atGihTZt2uTBVwQAAFwpSjRkpaSk6NFHH1VaWpqSk5N14sQJtWnTRocP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\nA/8HVnQw9VfoGiUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14a4ef910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_songs = data[['title','listen_count']].groupby('title').sum().reset_index()\n",
    "popular_songs_top_20 = popular_songs.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_songs_top_20['title']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_songs_top_20['listen_count'])\n",
    " \n",
    "plt.rcdefaults()    \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Listen Count')\n",
    "plt.title('Most popular songs')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 最流行的releases/发行"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:31:19.717845Z",
     "start_time": "2017-09-24T14:31:14.004246Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ge/fuVUhISFmPAQAALkJaWlqhh+yeDyHrMqpSpYqkv/6SfH19y3gaAABQHDk5OQoJCbH+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vTlYs6cOTh16pREtqL69ttvsWjRIiQkJAjsp+fl5YWdO3dyjh8dHY3Q0NA655JxaTT5008/YfTo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\nLQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f6c1a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_release = data[['release','listen_count']].groupby('release').sum().reset_index()\n",
    "popular_release_top_20 = popular_release.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_release_top_20['release']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_release_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Listen Count')\n",
    "plt.title('Most popular Release')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 最流行的artists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:34:20.212228Z",
     "start_time": "2017-09-24T14:34:15.653934Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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s7Gxt2LBBf/vb3zR06FB9++235603DEM2m818XP7n6taUnSGtqqayuWtSk5iY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\niEgLmGQRERERacH/AWEohs4nvP2hAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110110b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_artist = data[['artist_name','listen_count']].groupby('artist_name').sum().reset_index()\n",
    "popular_artist_top_20 = popular_artist.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_artist_top_20['artist_name']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_artist_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Ltem Count')\n",
    "plt.title('Most popular Artists')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Song count distribution\n",
    "用户播放过的歌曲的数目"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#title列为歌曲的数目\n",
    "#count of title for each unique user\n",
    "user_song_count_distribution = data[['user','title']].groupby('user').count()\n",
    "user_song_count_distribution.rename(columns = {'title': 'score'},inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>score</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>user</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0000f88f8d76a238c251450913b0d070e4a77d19</th>\n",
       "      <td>84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>00020e8ba3f9041deed64ec9c60b26ff6bf41c66</th>\n",
       "      <td>53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>00023f6ad10cd247d187b461e6b00b7bf3ebc568</th>\n",
       "      <td>53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>00028f3cff4872bff3e9985cfa32e01a8d54e374</th>\n",
       "      <td>166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0002e94348b2543c6e6ccf408b0160d14064e46f</th>\n",
       "      <td>198</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                          score\n",
       "user                                           \n",
       "0000f88f8d76a238c251450913b0d070e4a77d19     84\n",
       "00020e8ba3f9041deed64ec9c60b26ff6bf41c66     53\n",
       "00023f6ad10cd247d187b461e6b00b7bf3ebc568     53\n",
       "00028f3cff4872bff3e9985cfa32e01a8d54e374    166\n",
       "0002e94348b2543c6e6ccf408b0160d14064e46f    198"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_song_count_distribution.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>score</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>user</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>8cb51abc6bf8ea29341cb070fe1e1af5e4c3ffcc</th>\n",
       "      <td>1189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4e73d9e058d2b1f2dba9c1fe4a8f416f9f58364f</th>\n",
       "      <td>1185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c1255748c06ee3f6440c51c439446886c7807095</th>\n",
       "      <td>1149</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119b7c88d58d0c6eb051365c103da5caf817bea6</th>\n",
       "      <td>1120</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96f7b4f800cafef33eae71a6bc44f7139f63cd7a</th>\n",
       "      <td>1078</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                          score\n",
       "user                                           \n",
       "8cb51abc6bf8ea29341cb070fe1e1af5e4c3ffcc   1189\n",
       "4e73d9e058d2b1f2dba9c1fe4a8f416f9f58364f   1185\n",
       "c1255748c06ee3f6440c51c439446886c7807095   1149\n",
       "119b7c88d58d0c6eb051365c103da5caf817bea6   1120\n",
       "96f7b4f800cafef33eae71a6bc44f7139f63cd7a   1078"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_song_count_distribution = user_song_count_distribution.sort_values(by='score',ascending = False)\n",
    "user_song_count_distribution.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    99996.000000\n",
       "mean       107.760790\n",
       "std         79.740962\n",
       "min          1.000000\n",
       "25%         53.000000\n",
       "50%         89.000000\n",
       "75%        141.000000\n",
       "max       1189.000000\n",
       "Name: score, dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#分布的统计量\n",
    "user_song_count_distribution.score.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "每个用户平均播放107首歌曲/中位数为89首歌曲"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T15:11:28.003535Z",
     "start_time": "2017-09-24T15:11:27.461150Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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s2VNycnKS7OzsJC8vL+ntt9+WysvL5e3i4+MltVotPfDAAxIAaefOnfK6H374QfrLX/4i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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1102b4e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = user_song_count_distribution.score\n",
    "n, bins, patches = plt.hist(x, 50, facecolor='green', alpha=0.75)\n",
    "plt.xlabel('Play Songs')\n",
    "plt.ylabel('Num of Users')\n",
    "plt.title(r'$\\mathrm{Histogram\\ of\\ User\\ Play\\ Count\\ Distribution}\\ $')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Recommendation Engines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from Pop_Recommender import popularity_recommender\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Popularity based recommendations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train, test = train_test_split(data, test_size = 0.40, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>song</th>\n",
       "      <th>listen_count</th>\n",
       "      <th>title</th>\n",
       "      <th>release</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3222508</th>\n",
       "      <td>f2d9e0449ae8a6b16a3fc97e2c3b879a07228206</td>\n",
       "      <td>SOLARJV12AB018306B</td>\n",
       "      <td>2</td>\n",
       "      <td>Simple</td>\n",
       "      <td>Clock EP</td>\n",
       "      <td>Simian Mobile Disco</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6857832</th>\n",
       "      <td>f9bfd63ffa13c77cc80bfce11dec65f9ca7152ba</td>\n",
       "      <td>SOIOFZH12A6D4FCE35</td>\n",
       "      <td>4</td>\n",
       "      <td>Paris_ Tokyo (Explicit Album Version)</td>\n",
       "      <td>Lupe Fiasco's The Cool</td>\n",
       "      <td>Lupe Fiasco</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3647490</th>\n",
       "      <td>b21f015d1c8dcd88787f20d0f4f7734422e71980</td>\n",
       "      <td>SOQLWPG12A8C132943</td>\n",
       "      <td>4</td>\n",
       "      <td>My Little Japanese Cigarette Case (Album version)</td>\n",
       "      <td>Ga Ga Ga Ga Ga</td>\n",
       "      <td>Spoon</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1215589</th>\n",
       "      <td>95213f9048c98778ad22d03d93e185aa31435418</td>\n",
       "      <td>SORYRDI12A8C13EDA3</td>\n",
       "      <td>1</td>\n",
       "      <td>Narc</td>\n",
       "      <td>Antics</td>\n",
       "      <td>Interpol</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3671821</th>\n",
       "      <td>225feb2b27daf4e9b2b5df374a7b8b57adc91fea</td>\n",
       "      <td>SORGBIT12A6D4F7AC5</td>\n",
       "      <td>15</td>\n",
       "      <td>Never Before</td>\n",
       "      <td>Singles A's And B's</td>\n",
       "      <td>Deep Purple</td>\n",
       "      <td>1972</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                             user                song  \\\n",
       "3222508  f2d9e0449ae8a6b16a3fc97e2c3b879a07228206  SOLARJV12AB018306B   \n",
       "6857832  f9bfd63ffa13c77cc80bfce11dec65f9ca7152ba  SOIOFZH12A6D4FCE35   \n",
       "3647490  b21f015d1c8dcd88787f20d0f4f7734422e71980  SOQLWPG12A8C132943   \n",
       "1215589  95213f9048c98778ad22d03d93e185aa31435418  SORYRDI12A8C13EDA3   \n",
       "3671821  225feb2b27daf4e9b2b5df374a7b8b57adc91fea  SORGBIT12A6D4F7AC5   \n",
       "\n",
       "         listen_count                                              title  \\\n",
       "3222508             2                                             Simple   \n",
       "6857832             4              Paris_ Tokyo (Explicit Album Version)   \n",
       "3647490             4  My Little Japanese Cigarette Case (Album version)   \n",
       "1215589             1                                               Narc   \n",
       "3671821            15                                       Never Before   \n",
       "\n",
       "                        release          artist_name  year  \n",
       "3222508                Clock EP  Simian Mobile Disco  2007  \n",
       "6857832  Lupe Fiasco's The Cool          Lupe Fiasco     0  \n",
       "3647490          Ga Ga Ga Ga Ga                Spoon  2007  \n",
       "1215589                  Antics             Interpol     0  \n",
       "3671821     Singles A's And B's          Deep Purple  1972  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pop_recommender = popularity_recommender()\n",
    "pop_recommender.fit(train, 'user','title')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#基于流行度的推荐中，推荐内容对所有的用户都一样，随便取一个用户\n",
    "user = test.iat[0,0]\n",
    "recommendations = pop_recommender.predict(user)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user_id</th>\n",
       "      <th>title</th>\n",
       "      <th>score</th>\n",
       "      <th>rank</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>19580</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Sehr kosmisch</td>\n",
       "      <td>11230</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5780</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Dog Days Are Over (Radio Edit)</td>\n",
       "      <td>10673</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27314</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>You're The One</td>\n",
       "      <td>9669</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19542</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Secrets</td>\n",
       "      <td>9038</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18636</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Revelry</td>\n",
       "      <td>8990</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25070</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Undo</td>\n",
       "      <td>8845</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7531</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Fireflies</td>\n",
       "      <td>8045</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9641</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Hey_ Soul Sister</td>\n",
       "      <td>7838</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25216</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Use Somebody</td>\n",
       "      <td>7656</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9922</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Horn Concerto No. 4 in E flat K495: II. Romanc...</td>\n",
       "      <td>7444</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24291</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Tive Sim</td>\n",
       "      <td>7031</td>\n",
       "      <td>11.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23468</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>The Scientist</td>\n",
       "      <td>6951</td>\n",
       "      <td>12.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3629</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Canada</td>\n",
       "      <td>6880</td>\n",
       "      <td>13.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4194</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Clocks</td>\n",
       "      <td>6809</td>\n",
       "      <td>14.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12136</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Just Dance</td>\n",
       "      <td>6653</td>\n",
       "      <td>15.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16438</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>OMG</td>\n",
       "      <td>6545</td>\n",
       "      <td>16.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26974</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Yellow</td>\n",
       "      <td>6520</td>\n",
       "      <td>17.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9845</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Home</td>\n",
       "      <td>6272</td>\n",
       "      <td>18.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3296</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Bulletproof</td>\n",
       "      <td>6124</td>\n",
       "      <td>19.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4760</th>\n",
       "      <td>b654c92b46de00b42959c6d747481c5691b83474</td>\n",
       "      <td>Creep (Explicit)</td>\n",
       "      <td>6122</td>\n",
       "      <td>20.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                        user_id  \\\n",
       "19580  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "5780   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "27314  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "19542  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "18636  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "25070  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "7531   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "9641   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "25216  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "9922   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "24291  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "23468  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "3629   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "4194   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "12136  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "16438  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "26974  b654c92b46de00b42959c6d747481c5691b83474   \n",
       "9845   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "3296   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "4760   b654c92b46de00b42959c6d747481c5691b83474   \n",
       "\n",
       "                                                   title  score  rank  \n",
       "19580                                      Sehr kosmisch  11230   1.0  \n",
       "5780                      Dog Days Are Over (Radio Edit)  10673   2.0  \n",
       "27314                                     You're The One   9669   3.0  \n",
       "19542                                            Secrets   9038   4.0  \n",
       "18636                                            Revelry   8990   5.0  \n",
       "25070                                               Undo   8845   6.0  \n",
       "7531                                           Fireflies   8045   7.0  \n",
       "9641                                    Hey_ Soul Sister   7838   8.0  \n",
       "25216                                       Use Somebody   7656   9.0  \n",
       "9922   Horn Concerto No. 4 in E flat K495: II. Romanc...   7444  10.0  \n",
       "24291                                           Tive Sim   7031  11.0  \n",
       "23468                                      The Scientist   6951  12.0  \n",
       "3629                                              Canada   6880  13.0  \n",
       "4194                                              Clocks   6809  14.0  \n",
       "12136                                         Just Dance   6653  15.0  \n",
       "16438                                                OMG   6545  16.0  \n",
       "26974                                             Yellow   6520  17.0  \n",
       "9845                                                Home   6272  18.0  \n",
       "3296                                         Bulletproof   6124  19.0  \n",
       "4760                                    Creep (Explicit)   6122  20.0  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recommendations"
   ]
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